학술논문

Conformal Yang-Baxter equation on $\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C}))$
Document Type
Working Paper
Source
Subject
Mathematics - Quantum Algebra
Language
Abstract
In 2008, J. Liberati defined what is a conformal Lie bialgebra and introduced the conformal classical Yang-Baxter equation (CCYBE). An $L$-invariant solution to the weak version of CCYBE provides a conformal Lie bialgebra structure. We describe all solutions to the conformal classical Yang-Baxter equation on the current Lie conformal algebra $\mathrm{Cur}(\mathrm{sl}_2(\mathbb{C}))$ and to the weak version of it.
Comment: 20 p